Logical disjunction

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Logical disjunction, also called logical alternation, is an operation on two logical values, typically the values of two propositions, that produces a value of false if and only if both of its operands are false.

The truth table of $p~\operatorname {OR} ~q,$ also written $p\lor q,\!$ appears below:

${\text{Logical Disjunction}}\!$
$p\!$	$q\!$	$p\lor q$
$\operatorname {F}$	$\operatorname {F}$	$\operatorname {F}$
$\operatorname {F}$	$\operatorname {T}$	$\operatorname {T}$
$\operatorname {T}$	$\operatorname {F}$	$\operatorname {T}$
$\operatorname {T}$	$\operatorname {T}$	$\operatorname {T}$

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